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Polyhedral Geometry and the Two-Plane Parameterization

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Rendering Techniques ’97 (EGSR 1997)

Part of the book series: Eurographics ((EUROGRAPH))

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Abstract

Recently the light-field and lumigraph systems have been proposed as general methods of representing the visual information present in a scene. These methods represent this information as a 4D function of light over the domain of directed lines. These systems use the intersection points of the lines on two planes to parameterize the lines in space. This paper explores the structure of the two-plane parameterization in detail. In particular we analyze the association between the geometry of the scene and subsets of the 4D data. The answers to these questions are essential to understanding the relationship between a lumigraph, and the geometry that it attempts to represent. This knowledge is potentially important for a variety of applications such as extracting shape from lumigraph data, and lumigraph compression.

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Author information

Authors and Affiliations

  1. Harvard University, USA

    Xianfeng Gu & Steven J. Gortler

  2. Microsoft Research, USA

    Michael F. Cohen

Authors
  1. Xianfeng Gu
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  2. Steven J. Gortler
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  3. Michael F. Cohen
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Editor information

Editors and Affiliations

  1. Massachusetts Institute of Technology, Cambridge, MA, USA

    Julie Dorsey

  2. Computer Graphics Laboratory, University of Erlangen, Erlangen, Germany

    Philipp Slusallek

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© 1997 Springer-Verlag/Wien

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Gu, X., Gortler, S.J., Cohen, M.F. (1997). Polyhedral Geometry and the Two-Plane Parameterization. In: Dorsey, J., Slusallek, P. (eds) Rendering Techniques ’97. EGSR 1997. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6858-5_1

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  • DOI: https://doi.org/10.1007/978-3-7091-6858-5_1

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83001-7

  • Online ISBN: 978-3-7091-6858-5

  • eBook Packages: Springer Book Archive

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